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Finding the Third Proportional to 43,910 and 96,356

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Solution

The third proportional to 43,910 and 96,356 is: 211,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,910 : 96,356 = 96,356 : x
  2. Step 2: Convert to fraction form
    43,910/96,356 = 96,356/x
  3. Step 3: Cross multiply
    43,910x = 96,356 × 96,356
  4. Step 4: Simplify right side
    43,910x = 9,284,478,736
  5. Step 5: Solve for x
    x = 9,284,478,736/43,910
  6. Step 6: Final answer
    x = 211,443.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.